Details

sample86.0ms

Algorithm

intervals

Results

42.0ms	77×	body	10240	exit
15.0ms	278×	body	80	valid
11.0ms	9×	body	640	valid
4.0ms	6×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `fma-def`
2×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 34

Calls

2 calls:

8.0ms	(+ 1.0 (exp x))
10.0ms	(log (+ 1.0 (exp x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1.0 (exp x))
102.0ms	(log (+ 1.0 (exp x)))

simplify3.4s

Counts

40 → 40

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	65	314
1	138	297
2	315	275
3	711	273
4	1611	270
5	3432	269
done	5000	268

prune161.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
0.7b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.1b	(- (exp x) 1.0)
4.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`prod-diff`
24×	`add-cube-cbrt` `log-prod`
19×	`pow1`
15×	`log-pow`
10×	`distribute-lft-out`
9×	`associate--l+`
8×	`unpow-prod-down` `cube-prod`
7×	`fma-neg`
6×	`add-exp-log` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--r+`
2×	`associate--l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `sum-cubes` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

53.0ms	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
40.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
25.0ms	(- (exp x) 1.0)
3.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series646.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
137.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
22.0ms	(- (exp x) 1.0)
172.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify2.9s

Counts

129 → 129

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	212	3455
1	455	2766
2	1116	2348
3	4090	2012
done	5000	2008

prune601.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp x) 1.0)
4.7b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.8b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
4.8b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`prod-diff`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `log-prod`
4×	`expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `log-div` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`
1×	`distribute-rgt-out--` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

20.0ms	(- (exp x) 1.0)
29.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
2.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
71.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (exp x) 1.0)
74.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
156.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
138.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify2.8s

Counts

87 → 87

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	165	1391
1	362	1099
2	959	952
3	3695	898
done	5000	895

prune450.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

7.5b	(log (fma (fma 1/2 x 1) x 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `rem-log-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 14

Calls

1 calls:

7.0ms

(log (fma (fma 1/2 x 1) x 2.0))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(log (fma (fma 1/2 x 1) x 2.0))

simplify5.6s

Counts

17 → 17

Iterations

Useful iterations: 6 (4.8s)

Iter	Nodes	Cost
0	51	239
1	106	228
2	243	203
3	576	198
4	1300	194
5	2703	191
6	4797	190
done	5000	190

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	37
1	26	37
done	26	37

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	2432×	body	10240	exit
933.0ms	8361×	body	80	valid
95.0ms	256×	body	640	valid
84.0ms	134×	body	1280	valid
41.0ms	186×	body	320	valid
18.0ms	103×	body	160	valid